What is 76/34 Divided By 5/7

Solving $\frac{76}{34}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{34} \div \frac{5}{7} = \frac{76}{34} \times \frac{7}{5}$

• Multiply the Numerators: $76 \times 7 = 532$
• Multiply the Denominators: $34 \times 5 = 170$
• Form the New Fraction: $\frac{76}{34} \times \frac{5}{7} = \frac{532}{170}$

Let's Simplify $\frac{532}{170}$

• Find the Greatest Common Divisor (GCD) of $532$ and $170$. The GCD of $532$ and $170$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{532 \div 2}{170 \div 2} = \frac{266}{85}$

Answer $\frac{76}{34}\div\frac{5}{7} = \frac{266}{85}$

The following animation demonstrates the divide-by,